Question

find the midpoint of the line segment joining points a and b. a(8, - 5), b(4,3) the midpoint of the line segment is □. (type an ordered pair.)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=8,y_1=-5,x_2 = 4,y_2=3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8 + 4}{2}=\frac{12}{2}=6$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-5+3}{2}=\frac{-2}{2}=-1$.

Answer:

$(6,-1)$